Are you wanting tapercores because you like them better, or because you're afraid non-tapercore strings will break quicker on a thru-body bridge? Because they won't. Non-tapercore E and A strings work just fine. The angle of bending isn't nearly as severe as you would think.

But if you just like tapers, pretty much every company makes them in a set.

I was just under the impression that since the bass came with tapercore strings that I needed tapercore strings on there. I don't have tapercores on there now, but that's because I didn't have any. I'm glad to hear that I can put regular strings on there.